斜菱形棱柱
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该范例演示了一个斜菱形棱柱的几何构造。涉及的核心数学概念包括棱柱、多边形和立体几何。通过使用GeoGebra命令如Polygon、Segment、Prism等,可以构造棱柱的各个面和边。适合高中或大学的立体几何学习。
GeoGebra 命令及参数
Polygon(C_1, A_2, D_1, B_1) → q1, c_1, a_1, d, b_1Segment(A_2, C_1) → fPrism(q1, E_1) → e, F_1, edgeAF, edgeDG, edgeBH, edgeEF, edgeFG, edgeGH, edgeEH, G_1, H_1, faceACEF, faceADGF, faceBDGH, faceBCEH, faceEFGH, edgeCENet(e, OpenClose) → h, E, R, S, T, U, V, faceIJKL, faceIJNM, faceJKPO, faceKLRQ, faceILST, D, faceMNUV, edgeIJ, edgeJK, edgeKL, edgeIL, edgeIM, edgeMN, edgeJN, edgeJO, edgeOP, C, edgeKP, edgeKQ, edgeQR, edgeLR, edgeLS, edgeST, edgeIT, edgeNU, edgeUV, edgeMV, F, M, N, A, B, HSegment(E, C) → iSegment(F, D) → jSegment(C, A) → kSegment(D, B) → lOrthogonalLine(H, edgeKL, space) → mIntersect(i, j) → ZIntersect(k, l) → A_1Angle(E, Z, D) → αAngle(D, A_1, A) → βSegment(F, B_1) → pLength(j) → oLength(i) → qLength(k) → rLength(l) → sSegment(F, C) → f_1Length(f_1) → wIntersect(edgeKQ, edgeQR) → IIntersect(edgeOP, edgeKP) → JIntersect(edgeJO, edgeOP) → KLine(F, C) → g_1OrthogonalLine(I, g_1, space) → h_1Intersect(h_1, g_1) → GSegment(D_1, G) → i_1Segment(I, G) → j_1Angle(I, G, B_1) → δLength(j_1) → n
AI 绘图提示语参考
绘制一个斜置的菱形棱柱。首先绘制底面的四边形,然后构建棱柱的侧面和顶面。接着添加棱柱的边和角,最后绘制棱柱的展开图,展示其各个面和边的关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。